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Finding the Third Proportional to 32,865 and 70,656

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Solution

The third proportional to 32,865 and 70,656 is: 151,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865 : 70,656 = 70,656 : x
  2. Step 2: Convert to fraction form
    32,865/70,656 = 70,656/x
  3. Step 3: Cross multiply
    32,865x = 70,656 × 70,656
  4. Step 4: Simplify right side
    32,865x = 4,992,270,336
  5. Step 5: Solve for x
    x = 4,992,270,336/32,865
  6. Step 6: Final answer
    x = 151,902.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.